x - fyzikazeme.sk
x - fyzikazeme.sk
x - fyzikazeme.sk
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Metóda bisekcie (polenie intervalu)<br />
( a , b )<br />
x ( a b )<br />
Nájdeme stred intervalu a označíme ho<br />
1<br />
k k<br />
k 1 .<br />
2 k k<br />
Ak f ( x k + 1)<br />
= 0 potom x* = x k + 1 a končíme.<br />
Ak f ( x k + 1)<br />
≠ 0 potom<br />
( a , b )<br />
k+ 1 k+<br />
1<br />
+ = +<br />
( ak xk+ 1) f ( ak) f ( xk+<br />
1)<br />
( x b ) f ( a ) f ( x )<br />
⎧⎪ , , ak < 0,<br />
= ⎨<br />
⎪<br />
⎪<br />
⎪⎩ k+ 1, k , ak k k+<br />
1 > 0.